5y+3(y-2)+12-7y=

Solution for 5y+3(y-2)+12-7y= equation:

Simplifying
5y + 3(y + -2) + 12 + -7y = 0

Reorder the terms:
5y + 3(-2 + y) + 12 + -7y = 0
5y + (-2 * 3 + y * 3) + 12 + -7y = 0
5y + (-6 + 3y) + 12 + -7y = 0

Reorder the terms:
-6 + 12 + 5y + 3y + -7y = 0

Combine like terms: -6 + 12 = 6
6 + 5y + 3y + -7y = 0

Combine like terms: 5y + 3y = 8y
6 + 8y + -7y = 0

Combine like terms: 8y + -7y = 1y
6 + 1y = 0

Solving
6 + 1y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 0 + -6
1y = 0 + -6

Combine like terms: 0 + -6 = -6
1y = -6

Divide each side by '1'.
y = -6

Simplifying
y = -6